(a) Use the thin-lens equation to derive an expression for q in terms of f and p

Question

(a) Use the thin-lens equation to derive an expression for q in terms of f and p.
q = ___________

(b) Prove that for a real object and a diverging lens, the image must always be virtual. Hint: Set f = -|f| and show that q must be less than zero under the given conditions=_________________
(c) For a real object and converging lens, what inequality involving p and f must hold if the image is to be real? (Type in the inequality. Do not type any spaces. Use the following symbols if necessary: >, >= ,==)
=_________________

Explanation / Answer

a)

1/p + 1/q = 1/f >>>> q = fp/(p-f)

b)

q = fp/(f-p) = -|f|*p /(p -(-|f|)) = -(|f|*p /(|f| + p)) < 0 >>> the image must always be virtual.

c)

q>0 >>>> p>f

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